Quench dynamics and relaxation in isolated integrable quantum spin chains

FHL Essler, M Fagotti - Journal of Statistical Mechanics: Theory …, 2016 - iopscience.iop.org
We review the dynamics after quantum quenches in integrable quantum spin chains. We
give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the …

Superdiffusion in spin chains

VB Bulchandani, S Gopalakrishnan… - Journal of Statistical …, 2021 - iopscience.iop.org
This review summarizes recent advances in our understanding of anomalous transport in
spin chains, viewed through the lens of integrability. Numerical advances, based on tensor …

Quantum quench in the transverse-field Ising chain

P Calabrese, FHL Essler, M Fagotti - Physical review letters, 2011 - APS
We consider the time evolution of observables in the transverse-field Ising chain after a
sudden quench of the magnetic field. We provide exact analytical results for the asymptotic …

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

P Calabrese, FHL Essler, M Fagotti - Journal of Statistical …, 2012 - iopscience.iop.org
We consider the time evolution of order parameter correlation functions after a sudden
quantum quench of the magnetic field in the transverse field Ising chain. Using two novel …

Correlation functions and transport coefficients in generalised hydrodynamics

J De Nardis, B Doyon, M Medenjak… - Journal of Statistical …, 2022 - iopscience.iop.org
We review the recent advances on exact results for dynamical correlation functions at large
scales and related transport coefficients in interacting integrable models. We discuss Drude …

Exact large-scale correlations in integrable systems out of equilibrium

B Doyon - SciPost Physics, 2018 - scipost.org
Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale
dynamical two-point correlation functions of conserved densities and currents in …

Dynamical correlations after a quantum quench

FHL Essler, S Evangelisti, M Fagotti - Physical Review Letters, 2012 - APS
We consider dynamic (non-equal-time) correlation functions of local observables after a
quantum quench. We show that, in the absence of long-range interactions in the final …

Anomalous spin diffusion in one-dimensional antiferromagnets

J De Nardis, M Medenjak, C Karrasch, E Ilievski - Physical review letters, 2019 - APS
The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin
chains has so far remained elusive. Here we reinvestigate it by focusing on isotropic …

Rule 54: Exactly solvable model of nonequilibrium statistical mechanics

B Buča, K Klobas, T Prosen - Journal of Statistical Mechanics …, 2021 - iopscience.iop.org
We review recent results on an exactly solvable model of nonequilibrium statistical
mechanics, specifically the classical rule 54 reversible cellular automaton and some of its …

Spinon confinement in a quasi-one-dimensional anisotropic Heisenberg magnet

AK Bera, B Lake, FHL Essler, L Vanderstraeten… - Physical Review B, 2017 - APS
Confinement is a process by which particles with fractional quantum numbers bind together
to form quasiparticles with integer quantum numbers. The constituent particles are confined …